Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 29

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.92.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. ad.
  2. sint partes virgae, et quantitates ero,
  3. S2. ii, sc. sint ut partium gravita
  4. te specificae, erunt partium motes
  5. seupondera ubipsa rectanqula
  6. 10. 0. 1et 11. 1. 2, RC. quarum sum
  7. ma est pondus tobius, quod divisum
  8. per AB Longitudinem seu vosumen
  9. virgae, dat BG gravitabem ejus
  10. Specificam (mediam) per def. 5.
  11. sed cum eadem sit rectangulorum
  12. abique Labitudo, idem prodit; si
  13. dividas pummam Longitudinum
  14. per numerum esementorum
  15. aequalium, quorum unum quodque
  16. consideratum instar unitatio.
  17. nitus mutat. Ibaque BG esb me-
  18. Dium arithmeticum inter omnes
  19. ordinatim applicatas 0. 10, . 1,
  20. Et 2. 12. C. idemque est, etsi par
  21. besipsius AB sumantur datâ
  22. quavis minores, abque adeo si
  23. figurascalaris abeatin cur-
  24. vilineam.
  25. du
  26. rop. 29. problema
  27. Medium Arithmeticum inve
  28. nire inter quantitates numero
  29. infinitas
  30. Ub si sit virga meballica
  31. ABI, ex auro argento qe composita, cuju
  32. parbes riciniores extremo B sint
  33. grariores, pl usq auri habeant.
  34. Etaut gravitates specificae cres-
  35. cant in ratione rectarum AB,
  36. hunc ipsi virgae abtribuemus gra-
  37. vitatem specificam mediam, quad
  38. si ubique aequatem hab eret, tantun
  39. ponderis haberet quantum nunc;
  40. seu eam quam acciperet si fun-
  41. deretur in massam homogeneam
  42. ita ut aurum e argentum aequali-
  43. ver distribuerentur, Nempe in exem
  44. exemplo proposito, si BC represen
  45. bet gravitabem specificam in B.
  46. bunctriangutum normale ABC
  47. representabit pondus indegrum
  48. virgae, cuifiat aequa le recbangu=
  49. nq
  50. Lum ABGH ejusdem cum brian-
  51. gueo altitudinis ABsejus bapis
  52. AJLPeu BG represen vabit median-
  53. graritatem specificam, altribu-
  54. endam toti virgae.
  55. Dx
  56. Os.
  57. i factum ex applicatis in
  58. bobum aliquod ordinatim ductis
  59. represente

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 29. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068192:0029?run=74